Neumann problem for nonlinear Schrödinger equation with the Riesz fractional derivative operator
The authors consider the initial-boundary value problem for the fractional Schrödinger equation, (the fractional derivative operator defined by the Riesz potential) posed on positive half-line \(x>0\): The global existence in time and asymptotics of solutions to the initial-boundary value problem was proved. Their main goal is to obtain the large time asymptotics of solutions.
cubic nonlinear fractional Schrödinger equation
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